sinusprod_error.cc
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#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "sinusprod.h"
int main(int argc, char**argv) {
environment rheolef(argc, argv);
Float error_linf_expected = (argc > 1) ? atof(argv[1]) : 1e+38;
field uh; din >> uh;
space Xh = uh.get_space();
size_t d = Xh.get_geo().dimension();
field pi_h_u = interpolate(Xh, u_exact(d));
field eh = uh - pi_h_u;
trial u (Xh); test v (Xh);
form m = integrate (u*v);
form a = integrate (dot(grad(u),grad(v)));
dout << "error_l2 " << sqrt(m(eh,eh)) << endl
<< "error_linf " << eh.max_abs() << endl
<< "error_h1 " << sqrt(a(eh,eh)) << endl;
return (eh.max_abs() <= error_linf_expected) ? 0 : 1;
}
Float
see the Float page for the full documentation
field
see the field page for the full documentation
form
see the form page for the full documentation
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
rheolef::field_basic::max_abs
T max_abs() const
Definition: field.h:731
rheolef::std
Definition: vec_expr_v2.h:402
rheolef::din
idiststream din
see the diststream page for the full documentation
Definition: diststream.h:427
rheolef::dout
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:430
space
see the space page for the full documentation
test
see the test page for the full documentation
trial
see the test page for the full documentation
eh
field_basic< T, M > eh
Definition: form_field_expr.h:58
mkgeo_ball.d
int d
Definition: mkgeo_ball.sh:154
mkgeo_ball.a
int a
Definition: mkgeo_ball.sh:151
mkgeo_sector.m
m
Definition: mkgeo_sector.sh:118
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
rheolef::dot
rheolef::std enable_if ::type dot const Expr1 expr1, const Expr2 expr2 dot(const Expr1 &expr1, const Expr2 &expr2)
dot(x,y): see the expression page for the full documentation
Definition: vec_expr_v2.h:415
rheolef::grad
std::enable_if< details::is_field_convertible< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::gradient >>::type grad(const Expr &expr)
grad(uh): see the expression page for the full documentation
Definition: field_expr_terminal.h:911
rheolef::integrate
std::enable_if< details::is_field_expr_v2_nonlinear_arg< Expr >::value &&! is_undeterminated< Result >::value, Result >::type integrate(const geo_basic< T, M > &omega, const Expr &expr, const integrate_option &iopt, Result dummy=Result())
see the integrate page for the full documentation
Definition: integrate.h:202
rheolef::interpolate
field_basic< T, M > interpolate(const space_basic< T, M > &V2h, const field_basic< T, M > &u1h)
see the interpolate page for the full documentation
Definition: interpolate.cc:233
rheolef.h
rheolef - reference manual
sinusprod.h
The sinus product function.
main
int main(int argc, char **argv)
Definition: sinusprod_error.cc:29
a
Definition: diffusion_isotropic.h:25
u
Definition: leveque.h:25
u_exact
g u_exact
Definition: taylor_exact.h:26
u
Float u(const point &x)
Definition: transmission_error.cc:26